What change will occur in the line current when more devices are introduced in a parallel circuit?

Question:

What change will occur in the line current when more devices are introduced in a parallel circuit?

Line current:

The amount of the current whose circulation is done through the line is termed as the line current. The current flowing within any circuit is estimated in terms of ampere. The current depends on the resistance as well as the potential of any circuit.

Answer and Explanation:


In the parallel combination, the value of the resistance will decrease that result in the increase in the value of the current.

This phenomenon can be explained as follow,


The expression for the current is,

{eq}I = \dfrac{V}{R} {/eq}


The expression for the total resistance in the series combination is,

{eq}\dfrac{1}{R} = \dfrac{1}{{{R_a}}} + \dfrac{1}{{{R_b}}} + \dfrac{1}{{{R_c}}} {/eq}


Substitute the value of resistance in the expression of current.

{eq}\begin{align*} I &= V \times \left( {\dfrac{1}{{{R_a}}} + \dfrac{1}{{{R_b}}} + \dfrac{1}{{{R_c}}}} \right)\\ I &= V \times \left( {\dfrac{{{R_b}{R_c} + {R_a}{R_c} + {R_a}{R_b}}}{{{R_a} \times {R_b} \times {R_c}}}} \right) \end{align*} {/eq}


This is the required expression for the current when the circuits are connected in parallel.


In this type of combination, the value of the current will increase.



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